Mathematical Logic - Brossura

Ebbinghaus, H. D.

Brossura

ISBN 10: 1475723571 ISBN 13: 9781475723571

Casa editrice: Springer, 2012

Riassunto

This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraïssé's characterization of elementary equivalence, Lindström's theorem on the maximality of first-order logic, and the fundamentals of logic programming.

Su questo libro

Recensione:

"...the book remains my text of choice for this type of material, and I highly recommend it to anyone teaching a first logic course at this level." - Journal of Symbolic Logic

Contenuti:

Preface; Part A: 1. Introduction; 2. Syntax of First-Order Languages; 3. Semantics of first-Order Languages; 4. A Sequent Calculus; 5. The Completeness Theorem; 6. The Lowenheim-Skolem and the Compactness Theorem; 7. The Scope of First-Order Logic; 8. Syntactic Interpretations and Normal Forms; Part B: 9. Extensions of First-Order Logic; 10. Limitations of the Formal Method; 11. Free Models and Logic Programming; 12. An Algebraic Characterization of Elementary Equivalence; 13. Lindstroem's Theorems; References; Symbol Index; Subject Index

Su questa edizione

• Editore: Springer
• Data di pubblicazione: 2012
• ISBN 10: 1475723571
• ISBN 13: 9781475723571
• Rilegatura: Copertina flessibile
• Numero di pagine: 304